GFM

This is the old GFM website!
Our current site is at https://fisica-matematica.pt/en/

Sections

You are here: Home → Events → GFM seminars → The Canonical Group of Transformations of a Gaussian or Hermitean Frame

Document Actions

The Canonical Group of Transformations of a Gaussian or Hermitean Frame

GFM seminar

IIIUL, B2-01

2015-03-04 14:30 .. 15:30

Add event to calendar:

vCal

iCal

by Maurice de Gosson (Univ. Vienna)

We show that the lattice of any multidimensional Gaussian Gabor frame can be deformed using a Hamiltonian flow determined by the window, viewed as a stationary state of a certain Hamiltonian operator. Thus, to every such frame is intrinsically attached a canonical one-parameter group of symplectic transformations. We give applications to Gaussian and Germitean frames.

Past conference highlights: Symmetries in Quantum Physics 2017; Advances in Mathematical Fluid Mechanics, Stochastic & Deterministic Methods; Quantum Integrable Systems and Geometry; Chern-Simons Gauge Theory: 20 years after; Second Workshop on Quantum Gravity and Noncommutative Geometry; Infinite Dimensional Algebras and Quantum Integrable Systems II; Stochastic Analysis in Mathematical Physics; Mathematics in Chemistry; Geometric Aspects of Integrable Systems; ICMP 2003